@article{TSG_1997-1998__16__217_0,
author = {Thierry Delmotte},
title = {Harnack inequalities on graphs},
journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
pages = {217--228},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {16},
year = {1997-1998},
doi = {10.5802/tsg.202},
zbl = {0938.60066},
language = {en},
url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.202/}
}
TY - JOUR AU - Thierry Delmotte TI - Harnack inequalities on graphs JO - Séminaire de théorie spectrale et géométrie PY - 1997-1998 SP - 217 EP - 228 VL - 16 PB - Institut Fourier PP - Grenoble UR - https://proceedings.centre-mersenne.org/articles/10.5802/tsg.202/ DO - 10.5802/tsg.202 LA - en ID - TSG_1997-1998__16__217_0 ER -
%0 Journal Article %A Thierry Delmotte %T Harnack inequalities on graphs %J Séminaire de théorie spectrale et géométrie %D 1997-1998 %P 217-228 %V 16 %I Institut Fourier %C Grenoble %U https://proceedings.centre-mersenne.org/articles/10.5802/tsg.202/ %R 10.5802/tsg.202 %G en %F TSG_1997-1998__16__217_0
Thierry Delmotte. Harnack inequalities on graphs. Séminaire de théorie spectrale et géométrie, Tome 16 (1997-1998), pp. 217-228. doi: 10.5802/tsg.202
[1] , , Differential equations on Riemannian manifolds and their geometric applications, Comm. Pure Appl. Math., 28 ( 1975), 333-354. | MR | Zbl
[2] , ,. A Harnack inequality for homogeneous graphs and subgraphs, Comm. in Analysis and Geom. 2 ( 1994), 628-639. | MR | Zbl
[3] , , Generalized Liouville properties of manifolds, Math. Res. Lett., 3, 6 ( 1996), 723-729. | MR | Zbl
[4] , , Harmonic fonctions on manifolds, Preprint. | Zbl
[5] , , Weyl type bounds for harmonic function, Preprint. | Zbl
[6] , , Random walks on graphs with regular volume growth, GAFA, Geom. funct. anal., 8 ( 1998), 656-701. | MR | Zbl
[7] ., Large deviations for heat kernels on graphs, J. London Math. Soc. (2), 47 ( 1993), 65-72. | MR | Zbl
[8] , Sulla differenziabilita el'analiticita delle estremali degli integrali multipli regolari, Mem. Accad. Sci. Fis. Mat. 3,3 ( 1957), 25-43. | MR | Zbl
[9] , Inégalité de Harnack elliptique sur les graphes, Colloquium Mathematicum 72, 1 ( 1997), 19-37. | MR | Zbl
[10] , Estimations pour les chaînes de Markov réversibles, C.R. Acad. Sci. Paris 324, I ( 1997), 1053-1058. | MR | Zbl
[11] , Parabolic Harnack inequalities and estimates of Markov chains on graphs, To appear in Rev. Mat. Iberoamericana. | MR | Zbl
[12] , The heat equation on noncompact Riemannian manifolds, Math. USSR-Sb. 72 ( 1992), 47-77. | MR | Zbl
[13] , , Gaussian estimates for Markov chains and random walks on groups; Ann. Probab., 21 (2) ( 1993), 673-709. | MR | Zbl
[14] , , A strong Liouville theorem for p-harmonic fonctions on graphs, Ann. Acad. Sci. Fennicae Math., 22 ( 1997), 205-226. | MR | Zbl
[15] , , On the parabolic kernel of the Schrödinger operator, Acta Math., 156 ( 1986), 153-201. | MR | Zbl
[16] , Harmonic sections of polynomial growth, Math. Res. Lett. 4, 1 ( 1997), 35-44. | MR | Zbl
[17] , On Harnacks Theorem for Elliptic Differential Equations, Comm. Pure Appl. Math. 14 ( 1961), 577-591. | MR | Zbl
[18] , A Harnack Inequality for Parabolic Differential Equations, Comm. Pure Appl. Math. 1 ( 1964), 101-134. Correction in 20 ( 1967), 231-236. | MR | Zbl
[19] , On a pointwise estimate for parabolic differential equations, Comm. Pure Appl. Math. 24 ( 1971), 727-740. | MR | Zbl
[20] , Continuity of solutions of parabolic and elliptic equations, Amer. J. Math., 80 1958, 931-954. | MR | Zbl
[21] , Heat kernels of graphs, J. London Math. Soc. (2), 47 ( 1993), 50-64. | MR | Zbl
[22] , , , A global Harnack inequality on graphs and some related consequences, Preprint.
[23] , A note on Poincaré, Sobolev and Harnack inequalities, Internat. Math. Res. Notices 2 ( 1992), 27-38. | MR | Zbl
[24] , Parabolic Harnack inequality for divergence form second order differential operators, Potential analysis 4,4 ( 1995), 429-467. | MR | Zbl
[25] , , Markov chain approximations to symmetric diffusions, Ann. I.H.P., 33, 5 ( 1997), 619-649. | Numdam | MR | Zbl
[26] , Nonlinear Analysis in Geometry, L'enseignement Mathématique, Série des Conférences de l'Union Mathématique Internationale 8, SRO-KUNDIG, Genève, 1986. | MR | Zbl
Cité par Sources :

